Some applications of interpolating sequences for Banach spaces of analytic functions

Abstract

M. J. Beltrán-Meneua et al. \cite{beltran1} and E. Jordá and A. Rodríguez-Arenas \cite{jorda} characterized the (uniformly) mean ergodic composition operators on $H^{\infty }(\mathbb{D})$ and $H_{\nu }^{\infty }(\mathbb{D})$, respectively. In this paper, by using the interpolating sequences, we give other necessary and sufficient conditions for the (uniformly) mean ergodicity of composition operators on these spaces.

9 pages, any comments/addition would be appreciated